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Finding the Fourth Proportional to 322,005.75, 483,010.28 and 188,792.58

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Solution

The fourth proportional to 322,005.75, 483,010.28 and 188,792.58 is: 283,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,005.75 : 483,010.28 = 188,792.58 : x
  2. Step 2: Convert to fraction form
    322,005.75/483,010.28 = 188,792.58/x
  3. Step 3: Cross multiply
    322,005.75x = 483,010.28 × 188,792.58
  4. Step 4: Simplify right side
    322,005.75x = 91,188,756,927.72
  5. Step 5: Solve for x
    x = 91,188,756,927.72/322,005.75
  6. Step 6: Final answer
    x = 283,189.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.